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Simplifying x2 = 5(x + 280) Reorder the terms: x2 = 5(280 + x) x2 = (280 * 5 + x * 5) x2 = (1400 + 5x) Solving x2 = 1400 + 5x Solving for variable 'x'. Reorder the terms: -1400 + -5x + x2 = 1400 + 5x + -1400 + -5x Reorder the terms: -1400 + -5x + x2 = 1400 + -1400 + 5x + -5x Combine like terms: 1400 + -1400 = 0 -1400 + -5x + x2 = 0 + 5x + -5x -1400 + -5x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -1400 + -5x + x2 = 0 Factor a trinomial. (-35 + -1x)(40 + -1x) = 0Subproblem 1
Set the factor '(-35 + -1x)' equal to zero and attempt to solve: Simplifying -35 + -1x = 0 Solving -35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = 0 + 35 -1x = 0 + 35 Combine like terms: 0 + 35 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {-35, 40}
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